Large-scale task/target assignment for UAV fleets using a distributed branch and price optimization

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Karaman, Sertac ^a   Inalhan, Gokhan ^a  

^a NONE

Author keywords

Aerospace applications; Decentralization; Large scale optimization problems

Indexed keywords

ASSIGNMENT PROBLEMS; BRANCH AND PRICE; COLUMN GENERATION APPROACH; DECENTRALIZATION; DISTRIBUTED COORDINATION; DISTRIBUTED IMPLEMENTATION; FLIGHT PLANS; HARD REAL-TIME; LARGE SCALE OPTIMIZATION PROBLEMS; NUMERICAL VERIFICATION; POLYNOMIAL-TIME; PROBLEM SIZE; SUPPLY-DEMAND; WAYPOINTS;

AEROSPACE APPLICATIONS; APPROXIMATION ALGORITHMS; COMPETITION; COMPUTATIONAL COMPLEXITY; FLEET OPERATIONS; LINEAR PROGRAMMING; OPTIMIZATION;

UNMANNED AERIAL VEHICLES (UAV);

EID: 79961018815     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.2401     Document Type: Conference Paper

References (25)

1. D. Bertsimas, J.N. Tsitsiklis, Introduction to Linear Optimization, Athena Scientific, 1997.
2. L. Brickman, Mathematical Introduction to Linear Programming and Game Theory, Springer-Verlag, 1989.
3. R.S. Garfinkel, G.L. Nemhauser, Integer Programming, JohnWiley, 1972.
4. T. Schouwenaars, E. Feron, B. de Moor, and J. P. How, "Mixed Integer Programming for Multi-vehicle Path Planning," in Proceedings of the European Control Conference, European Union Control Association, Porto, Portugal, September, 2001, pp. 2603-2608.
5. J. Bellingham, M. Tillerson, A. Richards, J. P. How, "Multi-Task Allocation and Trajectory Design for Cooperating UAVs," in Cooperative Control: Models, Applications and Algorithms at the Conference on Coordination, Control and Optimization, November 2001, pp. 1-19.
6. L. Lasdon, Optimization Theory for Large-Scale Systems, Macmillan, 1970.
7. J. Desrosiers, M.E. Lbbecke, "A Primer in Column Generation", in Eds. G. Desaulniers, J. Desrosiers, M.M. Solomon, Column Generation, 2005, pp. 1-32.
8. G. Desaulniers, J. Desrosiers, M.M. Solomon, Column Generation, Springer-Verlag, 2005.
9. F. Vanderback, "Implementing Mixed Integer Column Generation", in Eds. G. Desaulniers, J. Desrosiers, M.M. Solomon, Column Generation, 2005, pp. 331-358.
10. R.K. Ahuja, T.L. Magnati, J.B. Orlin, Network Flows: Theory, Algorithms, and Application, Prentice Hall, 1993.
11. S. Irnich, G. Desaulniers, "Shortest Path Problems with Time Windows", in Eds. G. Desaulniers, J. Desrosiers, M.M. Solomon, Column Generation, 2005, pp. 33-66.
12. B. Kallehauge, J. Larsden, O.B.G. Madsen, M.M. Solomon, "Vehicle Routing Problem with Time Windows", in Eds. G. Desaulniers, J. Desrosiers, M.M. Solomon, Column Generation, 2005, pp. 67-98.
13. E. Donna, C.L. Pape, "Branch-and-Price Heuristics: A Case Study on the Vehicle Routing Problem with Time Windows", in Eds. G. Desaulniers, J. Desrosiers, M.M. Solomon, Column Generation, 2005, pp. 99-130.
14. A. Chabrier, "Vehicle Routing Problem with Elementary Shortest Path Based Column Generation", Computers and Operations Research, vol.33, 2006, pp. 2972-2990. (Pubitemid 43199835)
15. M. Ehrgott, J. Tind, "Column Generation in Integer Programming with Applications to Multicriteria Optimizaiton" Unpublised working paper, 2006, draft available online http://www.math.ku.dk/ tind/workingpapers.html.
16. M. E. Lubbecke, J. Desrosiers, "Selected Topics in Column Generation", to appear in Operations Research, available online at Optimization Online http://www.optimization?online.org/DBHTML/2002/12/580.html.
17. C. Barnhart, E.L. Johnson, G.L. Nemhauser, M.W.P. Savelsbergh, P.H. Vance, "Branch-and-Price: Column Generation for Solving Huge Integer Programs" , Operations Research vol.46, no.3, 1998, pp. 316-329.
18. F. Vanderback, M.W.P. Savelsbergh, "A Generic View of Dantzig-Wolfe Decomposition in Mixed Integer Programming", Operations Research Letters, vol.34, 2006, pp. 296-306.
19. T.K. Ralphs, M.V. Galati, "Decomposition and Dynamic Cut Generation in Integer Linear Programming", Mathematical Programming A, vol.106, 2006, pp. 261-285. (Pubitemid 43177355)
20. P. Toth, D. Vigo, The Vehicle Routing Problem, SIAM Publications, 2002.
21. A. Richards, Y. Kutawa, J. How, "Experimental Demonstrations of real-time MILP control", AIAA Control, Navigation and Guidance Conference and Exhibit, 2003.
22. K. Melhorn, M. Ziegelmann, "Resource Constrained Shortest Paths", Proceedings of the 8th Annual European Symposium on Algorithms, no.1879 in Lecture Notes in Computer Science, Springer, 2000, pp. 326-337.
23. M. Minoux, "A Class of Combinatorial Problems with Polynomially Solvable Large Scale Set Covering/Partitioning Relaxations", RAIRO Rech. Opr., vol.21, 1987, pp. 105-136.
24. E.L. Johnson, A. Mehrotra, G.L. Nemhauser, "Min-cut Clustering", Mathematical Programming, vol.62, 1993, pp. 133-151.
25. A. Cetinkaya and S. Karaman, O. Arslan, M. Aksugur, G. Inalhan, " Design of a Distributed C2 Architecture for Interoperable Manned-Unmanned Fleets," Conference on Cooperative Control and Optimization, Gainsville, FL, 2007